Pith Number

pith:YXZTISMT

pith:2018:YXZTISMTF4LMD43XI4J46OCVLL

not attested not anchored not stored refs pending

Numerical upper bounds on growth of automata groups

Bijan Mohammadi (IMAG), IECL), J\'er\'emie Brieussel (IMAG), Thibault Godin (IMAG

arxiv:1810.00544 v1 · 2018-10-01 · math.GR · cs.DM · cs.FL

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXZTISMTF4LMD43XI4J46OCVLL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:04:25.471083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f33449932f16c1f3774713cf38555ac6319b7ccf72d8dd253fba04a37b2234

Aliases

arxiv: 1810.00544 · arxiv_version: 1810.00544v1 · doi: 10.48550/arxiv.1810.00544 · pith_short_12: YXZTISMTF4LM · pith_short_16: YXZTISMTF4LMD43X · pith_short_8: YXZTISMT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YXZTISMTF4LMD43XI4J46OCVLL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c5f33449932f16c1f3774713cf38555ac6319b7ccf72d8dd253fba04a37b2234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f5df3403847e50312bd113255c938127eb62615f5ae75534765f4baa94ed12",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-01T06:27:56Z",
    "title_canon_sha256": "75c4e11cdc600c8931a250e0a905678cab742bc75bc72c4bede4373638ce4a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00544",
    "kind": "arxiv",
    "version": 1
  }
}